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Finding the Third Proportional to 564,224 and 874,200

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Solution

The third proportional to 564,224 and 874,200 is: 1,354,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,224 : 874,200 = 874,200 : x
  2. Step 2: Convert to fraction form
    564,224/874,200 = 874,200/x
  3. Step 3: Cross multiply
    564,224x = 874,200 × 874,200
  4. Step 4: Simplify right side
    564,224x = 764,225,640,000
  5. Step 5: Solve for x
    x = 764,225,640,000/564,224
  6. Step 6: Final answer
    x = 1,354,472.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.